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Finding the Fourth Proportional to 3,499.84, 4,829.85 and 2,007.82

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Solution

The fourth proportional to 3,499.84, 4,829.85 and 2,007.82 is: 2,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.84 : 4,829.85 = 2,007.82 : x
  2. Step 2: Convert to fraction form
    3,499.84/4,829.85 = 2,007.82/x
  3. Step 3: Cross multiply
    3,499.84x = 4,829.85 × 2,007.82
  4. Step 4: Simplify right side
    3,499.84x = 9,697,469.43
  5. Step 5: Solve for x
    x = 9,697,469.43/3,499.84
  6. Step 6: Final answer
    x = 2,770.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.